What is the Least Common Multiple of 95142 and 95149?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95142 and 95149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95142 and 95149, than apply into the LCM equation.

GCF(95142,95149) = 1
LCM(95142,95149) = ( 95142 × 95149) / 1
LCM(95142,95149) = 9052666158 / 1
LCM(95142,95149) = 9052666158

Least Common Multiple (LCM) of 95142 and 95149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95142 and 95149. First we will calculate the prime factors of 95142 and 95149.

Prime Factorization of 95142

Prime Factorization of 95149

Now multiplying the highest exponent prime factors to calculate the LCM of 95142 and 95149.

LCM(95142,95149) = 2¹ × 3¹ × 101¹ × 157¹ × 17¹ × 29¹ × 193¹
LCM(95142,95149) = 9052666158